#### Vol. 301, No. 1, 2019

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Multiplicity upon restriction to the derived subgroup

Vol. 301 (2019), No. 1, 1–14
##### Abstract

We present a conjecture on multiplicity of irreducible representations of a subgroup $H$ contained in the irreducible representations of a group $G$, with $G$ and $H$ having the same derived groups. We point out some consequences of the conjecture, and verification of some of the consequences. We give an explicit example of multiplicity $2$ upon restriction, as well as certain theorems in the context of classical groups where the multiplicity is $1$.

##### Keywords
reductive group, derived subgroup, representation, restriction, multiplicity
Primary: 22E50